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Finding the Fourth Proportional to 19,992.75, 29,956.30 and 6,837.94

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Solution

The fourth proportional to 19,992.75, 29,956.30 and 6,837.94 is: 10,245.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,992.75 : 29,956.30 = 6,837.94 : x
  2. Step 2: Convert to fraction form
    19,992.75/29,956.30 = 6,837.94/x
  3. Step 3: Cross multiply
    19,992.75x = 29,956.30 × 6,837.94
  4. Step 4: Simplify right side
    19,992.75x = 204,839,382.02
  5. Step 5: Solve for x
    x = 204,839,382.02/19,992.75
  6. Step 6: Final answer
    x = 10,245.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.